3c-1.6+2.5c=.5+2c-9.1

Solution for 3c-1.6+2.5c=.5+2c-9.1 equation:

Simplifying
3c + -1.6 + 2.5c = 0.5 + 2c + -9.1

Reorder the terms:
-1.6 + 3c + 2.5c = 0.5 + 2c + -9.1

Combine like terms: 3c + 2.5c = 5.5c
-1.6 + 5.5c = 0.5 + 2c + -9.1

Reorder the terms:
-1.6 + 5.5c = 0.5 + -9.1 + 2c

Combine like terms: 0.5 + -9.1 = -8.6
-1.6 + 5.5c = -8.6 + 2c

Solving
-1.6 + 5.5c = -8.6 + 2c

Solving for variable 'c'.

Move all terms containing c to the left, all other terms to the right.

Add '-2c' to each side of the equation.
-1.6 + 5.5c + -2c = -8.6 + 2c + -2c

Combine like terms: 5.5c + -2c = 3.5c
-1.6 + 3.5c = -8.6 + 2c + -2c

Combine like terms: 2c + -2c = 0
-1.6 + 3.5c = -8.6 + 0
-1.6 + 3.5c = -8.6

Add '1.6' to each side of the equation.
-1.6 + 1.6 + 3.5c = -8.6 + 1.6

Combine like terms: -1.6 + 1.6 = 0.0
0.0 + 3.5c = -8.6 + 1.6
3.5c = -8.6 + 1.6

Combine like terms: -8.6 + 1.6 = -7
3.5c = -7

Divide each side by '3.5'.
c = -2

Simplifying
c = -2